1.5 Notes: Angle Relationships. Vocab VocabularyDefinitionPictureNon-examples Adjacent Angles Linear Pair Vertical Angles Two angles that share a common.

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Presentation transcript:

1.5 Notes: Angle Relationships

Vocab VocabularyDefinitionPictureNon-examples Adjacent Angles Linear Pair Vertical Angles Two angles that share a common side and vertex. Two non-adjacent angles formed by intersecting lines. *Vertical angles are congruent!

Example 1 a)Name an angle pair that satisfies the condition two angles that form a linear pair. b) Name an angle pair that satisfies the condition two acute vertical angles.

Example 1 VocabularyDefinitionPicture Complementary Angles Supplementary Angles

Example 2 Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the measure of the other angle.

Example 3 Find the measures of two complementary angles if the measures of the larger angle is 12 more that twice the measure of the smaller angle.

Brain Break!

Vocab Two lines that intersect to form right angles. Perpendicular lines intersect to form four right angles. Perpendicular lines intersect to form congruent adjacent angles. Segments and rays can be perpendicular to lines or other lines segments and rays. The right angle symbol is perpendicular.

Example 4

Assumptions

Example 5